• #### Optimization Using the Second Derivative Test - Problem 2

##### Math›Calculus›Applications of the Derivative
How to use the second derivative test to find the minimum surface area of a given volume.
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• #### The Second Derivative Test for Relative Maximum and Minimum - Problem 1

##### Math›Calculus›Applications of the Derivative
How to find the relative maxima and minima of a fourth degree polynomial function with three terms, using the second derivative test.
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• #### The Second Derivative Test for Relative Maximum and Minimum - Problem 3

##### Math›Calculus›Applications of the Derivative
How to use the second derivative test to find the relative maxima and minima of a fourth degree polynomial function with five terms.
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• #### The Second Derivative Test for Relative Maximum and Minimum - Concept

##### Math›Calculus›Applications of the Derivative
How to show that polynomial functions are continuous functions.
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• #### Optimization Using the Second Derivative Test - Concept

##### Math›Calculus›Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.
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• #### The Second Derivative Test for Relative Maximum and Minimum - Problem 2

##### Math›Calculus›Applications of the Derivative
How to show that compositions of continuous functions are continuous functions.
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• #### Optimization Using the Second Derivative Test - Problem 3

##### Math›Calculus›Applications of the Derivative
How to compute the average rate of change of the amount of liquid in a tank over an interval of time, and how to represent this average rate on a graph.
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• #### Optimization Using the Second Derivative Test - Problem 1

##### Math›Calculus›Applications of the Derivative
How to determine intervals of time when the average velocity is negative or positive, and how to determine whether average velocity over one interval of time is greater than average velocity over another.
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• #### Optimization Problems: Applications to Economics - Concept

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
• #### Optimization Problems: Applications to Economics - Problem 3

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost.
• #### Optimization Problems: Applications to Economics - Problem 1

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize revenue.
• #### Optimization Problems: Applications to Economics - Problem 2

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.